Distributional equations and the ruin problem for the Sparre Andersen model with investments
Probability
2026-04-08 v1
Abstract
This note is an addendum to the work initiated by Eberlein, Kabanov, and Schmidt and developed further by Kabanov and Promyslov on the asymptotics of the ruin probabilities in the Sparre Andersen model with investments in a risky asset. Using more advanced methods of the implicit renewal theory, we provide complements to some results of the mentioned works.
Keywords
Cite
@article{arxiv.2504.00251,
title = {Distributional equations and the ruin problem for the Sparre Andersen model with investments},
author = {Yuri Kabanov and Danil Legenkiy and Platon Promyslov},
journal= {arXiv preprint arXiv:2504.00251},
year = {2026}
}
Comments
16 pages